20961152308224 has 792 divisors, whose sum is σ = 65507958079200. Its totient is φ = 6445894533120.

The previous prime is 20961152308223. The next prime is 20961152308247. The reversal of 20961152308224 is 42280325116902.

20961152308224 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 115 + 2 + 308 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20961152308224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20961152308223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21587180059 + ... + 21587181029.

Almost surely, 2^{20961152308224} is an apocalyptic number.

20961152308224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20961152308224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32753979039600).

20961152308224 is an abundant number, since it is smaller than the sum of its proper divisors (44546805770976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20961152308224 is a wasteful number, since it uses less digits than its factorization.

20961152308224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 20961152308224 in words is "twenty trillion, nine hundred sixty-one billion, one hundred fifty-two million, three hundred eight thousand, two hundred twenty-four".